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Nesterboy [21]
3 years ago
13

A news anchorman can read 7.5 lines in 0.5 minutes. How many lines can he read in 8.5 minutes? Round the answer to the nearest t

enth, if necessary.
A. 15.0 lines B. 127.5 lines
C. 31.9 lines D. 2.7 lines
Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0
The answer is 127.5 Lines.
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I need help ASAP please
trapecia [35]

Answer:

B

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = \frac{1}{\sqrt{2} } , then

cos45° = \frac{adjacent}{hypotenuse} = \frac{3}{c} = \frac{1}{\sqrt{2} } ( cross- multiply )

c = 3\sqrt{2}

5 0
3 years ago
Two children own two-way radios that have a maximum range of 3 miles. One leaves a certain point at 1:00 P.M., walking due north
Grace [21]

Answer:

The answer is 21 minutes

Step-by-step explanation:

We use the equation Xf = Xo + vt

1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])

2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]

  • x_{1f1} =x_{o} +v_{1} t_{1} \\x_{1f1} =0+.1(15)\\x_{1f1} =1.5 [mi]

3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]

  • Child 1 final position => x_{1f} = x_{1f1} +v_{1} t\\x_{1f} =1.5+v_{1} t
  • Child 2 final position => x_{2f} =0+v_{2} t

4) Sum the equations and equate to 3

  • x_{1f} +x_{2f} =3

5) Substitute the values we already know

  • 1.5+v_{1} t+v_{2}t=3\\ 1.5+.1t+.15t=3\\1.5+.25t=3\\t=\frac{3-1.5}{.25} \\t=6 [min]

6) in 15 + 6 minutes they will be 3miles apart

7) In 21 minutes they will still be able to communicate with one another.

7 0
3 years ago
What is the y-value when x equals 28? y=310-25(x)
Fofino [41]

Answer:

-390   PLEASE GIVE BRAINLIEST

Step-by-step explanation:

y = 310 - 25(28)

y = 310 - 700

y = -390

5 0
3 years ago
Find the equation of a line through the coordinate (3,−2) and parallel to the line represented by y=12x−2.
denis-greek [22]

Answer:

Step-by-step explanation:

y + 2 = 12(x - 3)

y + 2 = 12x - 36

y =12x - 38

7 0
3 years ago
what is the product of 4x/x-1 and x^2-1/3x+3 expressed in simplest form? A. 4x/3, B.4x^2/3, C. 4x^2/3x(x+1), D. 4(x+1)/3​
zvonat [6]

Answer:

Step-by-step explanation:

7 0
3 years ago
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